[SI-LIST] Re: Si-list is one awesome avenue to learn andcontribute to Signal Integrity
- From: Vinu Arumugham <vinu@xxxxxxxxx>
- To: rob@xxxxxxxxxx
- Date: Wed, 28 Nov 2001 10:18:43 -0800
Rob Hinz wrote:
> Sainath
>
> A couple things you might consider, Maxwell's equations work very well for
> describing the average effects of many photons. When you start looking at
> the quantum level effects of small numbers of photons they don't work so
> well. They also predict that TEM waves in free space will propagate in a
> straight line but we know that the direction of propagation is effected by
> gravitational fields.
>
In the presence of gravitational fields, all references to "straight lines"
should be replaced with "geodesics". Would the equations then predict correct
TEM wave propagation?
>
> The question Chris was responding to was a philosophical one, comparing how
> we model reality to reality itself. While we may be able to gain
> significant insight from a good mathematical model, it remains just that.
> Physics will prevail.
>
> Rob Hinz
> Senior Electromagnetics Specialist
> SiQual Corporation
> rob@xxxxxxxxxx
> phone (503)885-1231
> fax (503)885-0550
> http://www.siqual.com
>
> At 06:34 PM 11/27/2001 -0800, Sainath Nimmagadda wrote:
>
> >Contributors: please don't mislead learners with statements which you can't
> >support.
> >
> >Thanks,
> >Sainath
> >
> >-----Original Message-----
> >From: si-list-bounce@xxxxxxxxxxxxx
> >[mailto:si-list-bounce@xxxxxxxxxxxxx]On Behalf Of Sainath Nimmagadda
> >Sent: Tuesday, November 27, 2001 11:17 AM
> >To: cpad@xxxxxxxxx; si-list@xxxxxxxxxxxxx
> >Subject: [SI-LIST] Re: Square wave harmonics
> >
> >
> >
> >Chris,
> >
> >Just curious, what imperfections did you find with Maxwell equations?
> >
> >Sainath
> >
> >-----Original Message-----
> >From: si-list-bounce@xxxxxxxxxxxxx
> >[mailto:si-list-bounce@xxxxxxxxxxxxx]On Behalf Of Chris Padilla
> >Sent: Tuesday, November 27, 2001 10:57 AM
> >To: si-list@xxxxxxxxxxxxx
> >Subject: [SI-LIST] Re: Square wave harmonics
> >
> >
> >
> >Okay, I must pipe in with my 2=A2 worth.
> >
> >Back in college, I recall solving some problem for frequency. I ended up=20
> >with a quadratic and as we know, there are two answers in the solution of a=
> >=20
> >quadratic. It turns out one answer was positive frequency and the other=20
> >was negative frequency.
> >
> >Negative frequency???
> >
> >We've always been taught to simply "throw away" the "nonsensical" or=20
> >"nonphysical" answer in these cases but does this mean they arent "true" in=
> >=20
> >some sense? (One prof talked about anti-matter and negative frequency=20
> >being related in some guise...yikes!)
> >
> >Another example from college involved solving for a particular resistor=20
> >with in a network of resistors (typical torture problem from an eccentric=20
> >professor). The final function was a quadratic and you ended up with a=20
> >positive resistance and a negative resistance as solutions.
> >
> >Negative resistance???
> >
> >This one isn't so far fetched. Gunn diodes take advantage of the region is=
> >=20
> >which their I/V plot is negatively sloped. Oscillators are made taking=20
> >advantage of this.
> >
> >In the end, I have concluded that Mathematics is simply (and usually) an=20
> >elegant way to get a grasp (i.e. model, represent) on our physical=20
> >environment and it isn't perfect. After all, don't most of us take=20
> >Maxwell's Equations as gospel? ;^)
> >
> >Chris Padilla
> >EMC Engineer
> >Cisco Systems
> >
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>
> Rob Hinz
> Senior Electromagnetics Specialist
> SiQual Corporation
> rob@xxxxxxxxxx
> phone (503)885-1231
> fax (503)885-0550
> http://www.siqual.com
>
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